# How do you graph an ellipse written in standard form?

##### 1 Answer
Jan 27, 2015

The standard form of the ellipse is ${x}^{2} / {a}^{2} + {y}^{2} / {b}^{2} = 1$.

The easiest way to graph it, is to make a rectangle, centered in the origin, having the horizontal sides with the lenght of $2 a$ and the vertical sides with the lenght $2 b$.

The points $\left(a , 0\right) , \left(0 , b\right) , \left(- a , 0\right) , \left(0 , - b\right)$ are the four vertices of the ellipse.

It is sufficient now to join the four vertices.